标题：Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator
作者：Wang, Guotao; Ren, Xueyan; Baleanu, Dumitru
作者机构：[Wang, Guotao; Ren, Xueyan] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China.; [Wang, Guotao] Shandong Univ Sci & Tec 更多
通讯作者：Baleanu, D;Baleanu, D
通讯作者地址：[Baleanu, D]Fac Art & Sci, Dept Math, TR-06530 Balgat, Turkey;[Baleanu, D]Inst Space Sci, Magurele, Romania.
来源：MATHEMATICAL METHODS IN THE APPLIED SCIENCES
关键词：fractional Laplace operator; Hadamard fractional derivative; maximum; principle; uniqueness and continuous dependence
摘要：The purpose of the current study is to investigate IBVP for spatial-time fractional differential equation with Hadamard fractional derivative and fractional Laplace operator(-Delta)(beta). A new Hadamard fractional extremum principle is established. Based on the new result, a Hadamard fractional maximum principle is also proposed. Furthermore, the maximum principle is applied to linear and nonlinear Hadamard fractional equations to obtain the uniqueness and continuous dependence of the solution of the IBVP at hand.